Using the explicit formula, calculate how far the students will be swimming on week 10 using Ernest's schedule.

Answers

Answer 1
Answer:

Ernest would be swimming at 3.25 units on week 10

The explicit formula is given as:

a_n = a_1 + (n - 1) * d

Also, we have the following parameters

a_1 =1.0 -- the initial distance

d =0.25 --- the difference between concurrent distances

In week 10, the value of n is 10.

Next, substitute 10 for n in the explicit formula a_n = a_1 + (n - 1) * d

So, we have:

a_(10) = 1.0 + (10 - 1) * 0.25

Subtract 1 from 10

a_(10) = 1.0 + 9 * 0.25

Multiply 9 by 0.25

a_(10) = 1.0 + 2.25

Add 1.0 and 2.25

a_(10) = 3.25

Hence, Ernest would be swimming at 3.25 units on week 10

Read more about arithmetic sequence at:

brainly.com/question/6561461


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